# What Is -3 5/16 As A Decimal

What Is -3 5/16 As A Decimal – While there are tools that can help you read fractions of an inch or even fractions of a centimeter, knowing how to use a ruler to measure sixteenths of an inch is an important skill. So, how do you accurately locate 5/16 inch on a standard ruler?

A ruler usually shows 15 points per inch. Each of those 15 marks represents 1/16 inch. So, to find where 5/16 of an inch is on a ruler, find the fifth line starting from the previous inch line.

## What Is -3 5/16 As A Decimal

In this article, I will explain how you can use a ruler to read fractions of an inch. This way you can measure 5/16 inch with no problem.

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Rulers come with all kinds of markings that indicate how many fractions of an inch there are. Some rulers break into quarters, while others show only eighths of an inch. The standard ruler has 15 small markers such as quarters, eighths and sixteenths. Some more specialized rulers will show even 1/32 inch.

For example, if you look at the image of a magnified ruler above, you can see which lines correspond to which measurements. The longest lines indicate whole inches, and the second-to-longest lines indicate half-inch dots.

Quarters are eighths between the half-inch mark and the full-inch line, and quarters. So, to measure 1/16 inch, you need to look at the shortest line between the eighth inch lines.

Standard rulers have a side that shows standard imperial (feet, inches, fractions of an inch) measurements. The opposite end of the ruler will display the same measurement, but using the metric system.

#### New Learning Composite Mathematics Class 8 Sk Gupta Anubhuti Gangal Rational Numbers Chapter 1d Solution

Rulers displaying metric measurements will usually measure about 30 centimeters long, or about 1 foot. Each centimeter is usually divided into millimeters, indicated by 10 small lines in the middle. Each of these lines is 1/10 cm or 1 mm.

To measure length in centimeters or millimeters, you need to flip the ruler because the starting point of the metric measurement starts from the end point of the standard imperial measurement.

So, after using the ruler to measure 5/16 inches, you can turn the ruler over and record the length in centimeters or millimeters. If you measure carefully, the 5/16 inch should extend 7 to 8 mm.

The table below shows you how many millimeters are in each 1/16 inch section.

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Baron Cook has been writing and editing for 7 years. He grew up with a knack for geometry, statistics and dimensions. He also studied Bachelor of Arts in Construction Management and Civil Infrastructure, Engineering and Metrology. He is the main author of the examples: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7 – 1/3 = 4 7/8 – 2 ¾ = 5 1 / 3 – 2 5/6 = 4 x 6/7 = 2/3 x 9/16 = 1 2/3 x 3 4/5 = 4/5 ÷ 6/7 =

Presentation of the theme: “Example: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7 – 1/3 = 4 7/8 – 2 ¾ = 5 1 / 3 – 2 5/6 = 4 x 6/7 = 2/3 x 9/16 = 1 2/3 x 3 4/5 = 4/5 ÷ 6/7 = “— Presentation transcript:

5 Example: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7 – 1/3 = 4 7/8 – 2 ¾ = 5 1/3 – 2 5 /6 = 4 x 6/7 = 2/3 x 9/16 = 1 2/3 x 3 4/5 = 4/5 ÷ 6/7 = 7/8 ÷ 5 = /3 ÷ 3 3/8 =

6 Example: 3/5 + 4/5 = Since the denominators are equal, add the numbers and place them over their common denominator. (3 + 4)/5 = 7/5 simplified. 3/5 + 4/5 = 7/5 or 1 2/5.

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Find 7 2/3 + 5/8 = LCD – 24. Multiply each fraction by 1 to get equivalent fractions with common denominators. 2/3 x 8/8 = 16/24 5/8 x 3/3 = 15/24 2. 16/ /24 = Now add the numbers and place them over the common denominator. ()/24 = 31/24 2. 2/3 + 5/8 = 31/24 or 1 7/24.

8 3. 1 2/3 + 2 ¾ = Add the whole numbers and add the fractions after getting the common denominator. LCD – Multiply each fraction by 1 to get equivalent fractions with common denominators. 1 + 2 = 3 2/3 x 4/4 = 8/12 ¾ x 3/3 = 6/12 1 8/ /12 = 3 14/12 Subtract 3 14/12 ÷ 2/2 = 3 7/6 Simplify 3 7/6 = /6 = 4 1/6 /3 + 2 ¾ = 4 1/6 or 25/6.

9 5/7 – 1/3 = Find LCD – 21. Multiply each fraction by 1 to get equivalent fractions with common denominators. 5/7 x 3/3 = 15/21 1/3 x 7/7 = 7/21 4. 15/21 – 7/21 = Now subtract the numbers and place them on the common denominator. (15-7)/21 = 8/21 simplified. 4. 5/7 – 1/3 = 8/21.

10 5. Find 4 7/8 – 2 ¾ = LCD – 8 . Multiply each fraction by 1 to get equivalent fractions with common denominators. 7/8 x 1/1 = 7/8 ¾ x 2/2 = 6/8 4 7/8 – 2 6/8 = Subtract fractions and subtract whole numbers. No loan is required for this problem. (7-6)/8 = 1/8 4 – 2 = 2 4 7/8 – 2 6/8 = 2 1/8 Simplifies. /8 – 2 ¾ = 2 1/8 or 17/8.

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11/3 – 2 5/6 = Find LCD – 6. Multiply each fraction by 1 to get equivalent fractions with common denominators. 1/3 x 2/2 = 2/6 5/6 x 1/1 = 5/6 5 2/6 – 2 5/6 = 5 Must be borrowed from a whole number greater than 2. 2/6 + 6 /6 = 8/6 5 – 1 = 4 4 8/6 – 2 5/6 = Now subtract the fraction and then the whole number. (8 – 5)/6 = 3/6 Simplifying 3/6 = ½ 4 – 2 = 2 So the answer is 2 ½. /3 – 2 5/6 = 2 ½ or 5/2.

12 4 x 6/7 = whole number to be changed in half. 4/1 x 6/7 = Now multiply the numerators together, then simplify if possible by multiplying the denominators together. 4 x 6 = 24 1 x 7 = 7 Fractions = 24/7 Fractions in simpler form. 7. 4 x 6/7 = 24/7 or 3 3/7.

13 8. 2/3 x 9/16 = Simply multiply the numerators together, then multiply the denominators together and simplify if possible. 2 x 9 = 18 3 x 16 = Fraction = 18/48 The fraction is not in simplest form: the GCF of 6 goes to both the numerator and denominator. 18/48 ÷ 6/6 = 3/8 simplified. Cross cancellation is very useful for simplifying fractions. 2 and 16 are divisible by 2. 3 and 9 are divisible by 3. 2/3 x 9/16 = 1/1 x 3/8 = 3/8. 8. 2/3 x 9/16 = 3/8.

14 9. 1 2/3 x 3 4/5 = First all mixed numbers must be converted to improper fractions to multiply as two fractions. 1 2/3 = [(1 x 3) + 2 ]/ 3 = 5/3 3 4/5 = [(3 x 5) + 4]/5 = 19/5 9. 5/3 x 19/5 = Simply multiply the numerators together, then multiply the denominators together and simplify if possible. 5 x 19 = 95 3 x 5 = 15 The fraction 95/15 is not the simplest form: the GCF of 5 goes to both the numerator and the denominator. 95/15 ÷ 5/5 = 19/3 simplified. Cross cancellation is very useful for simplifying fractions. 5 and 5 are divisible by 5. 5/3 x 19/5 = 1/3 x 19/1 = 19/3. 9. 1 2/3 x 3 4/5 = 19/3 or 6 1/3.

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15 4/5 ÷ 6/7 = undivided fraction. Rule: Keep-change-flip. (The first half stays the same, change the quotient to the multiplication, then invert (reverse) the second half.) Then multiply the fractions. 4/5 x 7/6 = Simply multiply the numerator together, then simplify by multiplying the denominator together if possible. 4 x 7 = 28 5 x 6 = 30 The fraction is 28/30. The fraction is not in simplest form: the GCF of 5 goes to both the numerator and denominator. 28/30 ÷ 2/2 = 14/15 simplified. Cross cancellation: 2/7 x 5/3 = 14/15. 10. 4/5 ÷ 7/6 = 14/15.

16 11. 7/8 ÷ 5 = First all mixed numbers and whole numbers must be converted to improper fractions to multiply as two fractions. 5 = 5/ /8 ÷ 5/1 = The fraction is not divisible. Rule: Keep-change-flip. (The first half remains the same, change the division to multiplication, then (optionally) reverse the second half.) Then multiply the fractions. 7/8 x 1/5 = Simply multiply the numerator together, then simplify by multiplying the denominator together if possible. 7 x 1 = 7 8 x 5 = /40 11.

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